
This paper relies heavily Huber's theory of adic spaces developed in [1]} and [2]}. We do not develop the theory here and instead refer the reader to Huber's original papers, or [3]} for an excellent summary. A summary of the theory and with an emphasis on perfectoid spaces can be found the author's doctoral dissertation ([4]} Sections 2-4), or in Kedlaya's detailed notes from the 2017 Arizona Winter School on the subject [5]}.
